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Asymptotic Plateau problem for prescribed mean curvature hypersurfaces (Q5218218)

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scientific article; zbMATH DE number 7176159

Language	Label	Description	Also known as
English	Asymptotic Plateau problem for prescribed mean curvature hypersurfaces	scientific article; zbMATH DE number 7176159

Statements

scholarly article

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Asymptotic Plateau problem for prescribed mean curvature hypersurfaces (English)

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Jean-Baptiste Castéras

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Ilkka Holopainen

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Jaime Bruck Ripoll

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Proceedings of the American Mathematical Society

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publication date

2 March 2020

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full work available at URL

https://arxiv.org/abs/1903.11111

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http://hdl.handle.net/10138/312449

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zbMATH Keywords

Hadamard manifolds

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asymptotic Plateau problem

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MaRDI profile type

MaRDI publication profile

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Some remarks on the existence of hypersurfaces of constant mean curvature with a given boundary, or asymptotic boundary, in hyperbolic space

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Complete minimal varieties in hyperbolic space

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Complete minimal hypersurfaces in hyperbolic n-manifolds

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Trapping quasiminimizing submanifolds in spaces of negative curvature

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Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems

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Minimizing constant mean curvature hypersurfaces in hyperbolic space

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Asymptotic Plateau Problem

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Embedded 𝐻-planes in hyperbolic 3-space

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Complete minimal surfaces in hyperbolic space

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Visibility manifolds

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Hypersurfaces of constant mean curvature in hyperbolic space with prescribed asymptotic boundary at infinity

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The Plateau problem for surfaces of prescribed mean curvature in a Riemannian manifold

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On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$

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THE EXISTENCE OF COMPLETE MINIMIZING HYPERSURFACES IN HYPERBOLIC MANIFOLDS

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The asymptotic Plateau problem in Gromov hyperbolic manifolds.

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Sets of Finite Perimeter and Geometric Variational Problems

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Properly embedded, area-minimizing surfaces in hyperbolic 3-space

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Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)

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Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems

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Complete minimal graphs with prescribed asymptotic boundary on rotationally symmetric Hadamard surfaces

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Complete minimal discs in Hadamard manifolds

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Strict interior approximation of sets of finite perimeter and functions of bounded variation

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Existence and regularity of constant mean curvature hypersurfaces in hyperbolic space

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Identifiers

zbMATH Open document ID

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10.1090/proc/14829

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5218218

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